{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 梯度下降和随机梯度下降\n",
    "在本节中，我们将介绍梯度下降（gradient descent）的工作原理。虽然梯度下降在深度学习中很少被使用，但理解梯度的意义以及沿着梯度反方向更新自变量可能降低目标函数值的原因是学习后续优化算法的基础。随后，我们将引出随机梯度下降（stochastic gradient descent）。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 一维梯度下降\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面我们以目标函数f(x)=x^2为例来看一看梯度下降是如何工作的。虽然我们知道最小化f(x)的解为x=0，这里依然使用这个简单函数来观察xx是如何被迭代的。首先，导入本节实验所需的包或模块。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import torch\n",
    "import math\n",
    "import sys\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来使用x=10作为初始值，并设η=0.2。使用梯度下降对x迭代10次，可见最终x的值较接近最优解。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 10, x:  0.06046617599999997\n"
     ]
    }
   ],
   "source": [
    "def gd(eta):\n",
    "    x = 10\n",
    "    results = [x]\n",
    "    for i in range(10):\n",
    "        x -= eta * 2 * x # f(x) = x * x的导数为f'(x) = 2 * x\n",
    "        results.append(x)\n",
    "    print('epoch 10, x: ', x)\n",
    "    return results\n",
    "\n",
    "res = gd(0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面将绘制出自变量xx的迭代轨迹"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython import display\n",
    "\n",
    "def use_svg_display():\n",
    "    display.set_matplotlib_formats('svg') # 用矢量图显示\n",
    "\n",
    "def set_figsize(figsize=(3.5, 2.5)):\n",
    "    use_svg_display()\n",
    "    plt.rcParams['figure.figsize'] = figsize # 设置图的尺寸\n",
    "\n",
    "def show_trace(res):\n",
    "    n = max(abs(min(res)), abs(max(res)), 10)\n",
    "    f_line = np.arange(-n, n, 0.1)\n",
    "    set_figsize()\n",
    "    plt.plot(f_line, [x*x for x in f_line])\n",
    "    plt.plot(res, [x*x for x in res], '-o')\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel('f(x)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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    "### 学习率\n",
    "上述梯度下降算法中的正数η通常叫作学习率。这是一个超参数，需要人工设定。如果使用过小的学习率，会导致x更新缓慢从而需要更多的迭代才能得到较好的解。\n",
    "\n",
    "下面展示使用学习率η=0.05时自变量xx的迭代轨迹。可见，同样迭代10次后，当学习率过小时，最终x的值依然与最优解存在较大偏差。"
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      "epoch 10, x:  3.4867844009999995\n"
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   "metadata": {},
   "source": [
    "如果使用过大的学习率，∣ηf′(x)∣可能会过大从而使前面提到的一阶泰勒展开公式不再成立：这时我们无法保证迭代x会降低f(x)的值。\n",
    "\n",
    "举个例子，当设学习率η=1.1时，可以看到xx不断越过（overshoot）最优解x=0并逐渐发散。"
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   "execution_count": 9,
   "metadata": {},
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      "epoch 10, x:  61.917364224000096\n"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 多维梯度下降\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_2d(trainer):\n",
    "    x1, x2, s1, s2 = -5, -2, 0, 0\n",
    "    results = [(x1, x2)]\n",
    "    for i in range(20):\n",
    "        x1, x2, s1, s2 = trainer(x1, x2, s1, s2)\n",
    "        results.append((x1, x2))\n",
    "    print('epoch %d, x1 %f, x2 %f' % (i + 1, x1, x2))\n",
    "    return results\n",
    "\n",
    "def show_trace_2d(f, results):\n",
    "    plt.plot(*zip(*results), '-o', color='#ff7f0e')\n",
    "    x1, x2 = np.meshgrid(np.arange(-5.5, 1.0, 0.1), np.arange(-3.0, 1.0, 0.1))\n",
    "    plt.contour(x1, x2, f(x1, x2), colors='#1f77b4')\n",
    "    plt.xlabel('x1')\n",
    "    plt.ylabel('x2')\n",
    "    "
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然后，观察学习率为0.1时自变量的迭代轨迹。使用梯度下降对自变量x迭代20次后，可见最终xx的值较接近最优解[0,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 20, x1 -0.057646, x2 -0.000073\n"
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   "source": [
    "eta = 0.1\n",
    "\n",
    "def f_2d(x1, x2):  # 目标函数\n",
    "    return x1 ** 2 + 2 * x2 ** 2\n",
    "\n",
    "def gd_2d(x1, x2, s1, s2):\n",
    "    return (x1 - eta * 2 * x1, x2 - eta * 4 * x2, 0, 0)\n",
    "\n",
    "show_trace_2d(f_2d, train_2d(gd_2d))"
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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 随机梯度下降\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面我们通过在梯度中添加均值为0的随机噪声来模拟随机梯度下降，以此来比较它与梯度下降的区别。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 20, x1 -0.377424, x2 -0.149407\n"
     ]
    },
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   ],
   "source": [
    "def sgd_2d(x1, x2, s1, s2):\n",
    "    return (x1 - eta * (2 * x1 + np.random.normal(0.1)),\n",
    "            x2 - eta * (4 * x2 + np.random.normal(0.1)), 0, 0)\n",
    "\n",
    "show_trace_2d(f_2d, train_2d(sgd_2d))"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，随机梯度下降中自变量的迭代轨迹相对于梯度下降中的来说更为曲折。这是由于实验所添加的噪声使模拟的随机梯度的准确度下降。在实际中，这些噪声通常指训练数据集中的无意义的干扰。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 小结\n",
    "1、使用适当的学习率，沿着梯度反方向更新自变量可能降低目标函数值。梯度下降重复这一更新过程直到得到满足要求的解。\n",
    "\n",
    "2、学习率过大或过小都有问题。一个合适的学习率通常是需要通过多次实验找到的。\n",
    "\n",
    "3、当训练数据集的样本较多时，梯度下降每次迭代的计算开销较大，因而随机梯度下降通常更受青睐。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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